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 mesons as a probe of Casimir effect for chiral symmetry breaking

Ishikawa, Tsutomu; Nakayama, Kotaro; Suenaga, Daiki; Suzuki, Kei

doi:10.1103/physrevd.100.034016

Cited by 9 publications

(4 citation statements)

References 100 publications

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“…We mainly use the PACS10 configurations generated by the PACS Collaboration with the six stout-smeared O(a) improved Wilson-clover quark action and Iwasaki gauge action at β = 1.82 corresponding to the lattice spacings of 0.085 fm [7][8][9][10][11] with physical light quarks. When we compute nucleon two-and three-point functions, the all-mode-averaging (AMA) technique [13] is employed in order to reduce the statistical errors significantly without increasing computational costs.…”

Section: Simulation Detailsmentioning

confidence: 99%

Nucleon isovector tensor charge from lattice QCD with physical light quarks

Ryutaro¹,

Aoki²,

Ishikawa³

et al. 2022

Preprint

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We present preliminary results for the axial, scalar and tensor charges of the nucleon measured in 2+1 flavor QCD with the physical light quarks (m π = 135 MeV). Our simulations are carried out with gauge configurations generated by the PACS Collaboration with the stout-smeared O(a) improved Wilson fermions and Iwasaki gauge action at a single lattice spacing of 0.085 (fm). There are two lattice ensembles of the PACS gauge configurations, which have physical lattice sizes over (10 fm) 4 and (5 fm) 4 , respectively. We compute the nucleon three-point correlation functions in the axial, scalar, and tensor channels. For the renormalization, we use the Rome-Southampton method as the intermediate scheme in order to evaluate the renormalization constants for the scalar and tensor currents in fully nonperturbative manner. We then evaluate the renormalized values of the scalar and tensor charges (g S and g T ) in the MS scheme at the renormalization scale of 2 GeV with a help of the continuum perturbation theory for the matching between two schemes. We compare our preliminary results of g S and g T with those of other collaboration results.

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Section: Simulation Detailsmentioning

confidence: 99%

Nucleon isovector tensor charge from lattice QCD with physical light quarks

Ryutaro¹,

Aoki²,

Ishikawa³

et al. 2022

Preprint

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“…We mainly use the PACS10 configurations generated by the PACS Collaboration with the six stout-smeared O (𝑎) improved Wilson-clover quark action and Iwasaki gauge action at 𝛽 = 1.82 and 2.00 corresponding to the lattice spacings of 0.085 fm (coarser) and 0.064 fm (finer) respectively [13][14][15][16][17]. When we compute nucleon two-point and three-point functions, the all-modeaveraging (AMA) technique [18] is employed in order to reduce the statistical errors significantly without increasing computational costs.…”

Section: Simulation Detailsmentioning

confidence: 99%

The lower moments of nucleon structure functions in lattice QCD with physical quark masses

Ryutaro¹,

Aoki²,

Ishikawa³

et al. 2021

Preprint

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We present results for the nucleon structure functions and form factors obtained from 2+1 flavor lattice QCD with physical light quark masses (𝑚 𝜋 = 135 MeV) in a large spatial extent of about 10 fm. Our calculations are performed with the PACS10 gauge configurations generated by the PACS Collaboration with the six stout-smeared O (𝑎) improved Wilson-clover quark action and Iwasaki gauge action at 𝛽 = 1.82 and 2.00 corresponding to lattice spacings of 0.085 fm and 0.064 fm respectively. The lower moments of structure functions, 𝑥 𝑢−𝑑 and 𝑥 Δ𝑢−Δ𝑑 given by the twist-2 operators being properly renormalized, are evaluated in the MS scheme at the renormalization scale of 2 GeV only at 𝛽 = 1.82, since the renormalization factors at 𝛽 = 2.00have not yet determined nonperturbatively in the RI/MOM scheme. Instead, at two lattice spacings, we evaluate appropriate ratios of 𝑔 𝐴 /𝑔 𝑉 and 𝑥 𝑢−𝑑 / 𝑥 Δ𝑢−Δ𝑑 , which are not renormalized in the continuum limit. These quantities thus can be directly compared with the experimental data without the renormalization.

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“…The structure is also affected by the size of the system and boundary conditions (topology of the system). Boundary conditions are often imposed to be periodic and antiperiodic [9][10][11][12][13][14][15]. In the Matsubara formalism, the finite temperature and chemical potential can be regarded as the size and boundary condition for the imaginary time direction.…”

Section: Introductionmentioning

confidence: 99%

Precise Phase Structure in Four-fermion Interaction Model on Torus

Inagaki,

Matsuo,

Shimoji

2021

Preprint

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We investigate finite-size effects on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. Following the imaginary time formalism, the thermal quantum field theory is constructed on an S 1 imaginary time direction. In this paper, the finite-size effect is introduced by a compact S 1 spatial direction with a U (1)-valued boundary condition. Thus we study the model on a R D−2 × S 1 × S 1 torus. Phase diagrams are obtained by evaluating local minima of the effective potential in the leading order of the 1/N expansion. From the grand potential, we calculate the particle number density and the pressure and show the correspondence with the phase structure. We obtain a stable size where the sign of the pressure flips from negative to positive as the size decreases. It is found that the finite chemical potential expands the parameter range for which the stable size exists.

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D mesons as a probe of Casimir effect for chiral symmetry breaking

Cited by 9 publications

References 100 publications

Nucleon isovector tensor charge from lattice QCD with physical light quarks

Nucleon isovector tensor charge from lattice QCD with physical light quarks

The lower moments of nucleon structure functions in lattice QCD with physical quark masses

Precise Phase Structure in Four-fermion Interaction Model on Torus

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